18444384 has 108 divisors (see below), whose sum is σ = 61061364. Its totient is φ = 5265792.

The previous prime is 18444373. The next prime is 18444397. The reversal of 18444384 is 48344481.

It is a super-2 number, since 2×18444384² = 680390602278912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13459 + ... + 14765.

It is an arithmetic number, because the mean of its divisors is an integer number (565383).

Almost surely, 2^18444384 is an apocalyptic number.

18444384 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18444384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30530682).

18444384 is an abundant number, since it is smaller than the sum of its proper divisors (42616980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18444384 is a wasteful number, since it uses less digits than its factorization.

18444384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1319 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 18444384 is about 4294.6925384712. The cubic root of 18444384 is about 264.2133261971.

The spelling of 18444384 in words is "eighteen million, four hundred forty-four thousand, three hundred eighty-four".